arXiv:math/0112136 Abstract

arXiv:math/0112136 [math.LO]Abstract References Reviews Resources

Embeddings into P(N)/fin and extension of automorphisms

A. Bella, A. Dow, K. P. Hart, M. Hrusak, J. van Mill, P. Ursino

Published 2001-12-13Version 1

Given a Boolean algebra B and an embedding e:B -> P(N)/fin we consider the possibility of extending each or some automorphism of B to the whole P(N)/fin. Among other things, we show, assuming CH, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.

Categories: math.LO, math.GN

Subjects: 06E99, 03E35, 03E50, 54G05

Keywords: boolean algebra, non-trivial automorphism, wide class

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